Search a number
-
+
337081687000081 is a prime number
BaseRepresentation
bin100110010100100101111001…
…0001101101100010000010001
31122012111200202100002212202221
41030221023302031230100101
5323140221243333000311
63152525104512541041
7131000230303400632
oct11451136215542021
91565450670085687
10337081687000081
119844a5a4679041
1231980832b51781
131161188894b89a
145d34baac53889
1528e840548c671
hex13292f236c411

337081687000081 has 2 divisors, whose sum is σ = 337081687000082. Its totient is φ = 337081687000080.

The previous prime is 337081687000061. The next prime is 337081687000103. The reversal of 337081687000081 is 180000786180733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211175536334400 + 125906150665681 = 14531880^2 + 11220791^2 .

It is a cyclic number.

It is not a de Polignac number, because 337081687000081 - 211 = 337081686998033 is a prime.

It is a super-2 number, since 2×3370816870000812 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337081686999992 and 337081687000028.

It is not a weakly prime, because it can be changed into another prime (337081687000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168540843500040 + 168540843500041.

It is an arithmetic number, because the mean of its divisors is an integer number (168540843500041).

Almost surely, 2337081687000081 is an apocalyptic number.

It is an amenable number.

337081687000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

337081687000081 is an equidigital number, since it uses as much as digits as its factorization.

337081687000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 337081687000081 in words is "three hundred thirty-seven trillion, eighty-one billion, six hundred eighty-seven million, eighty-one", and thus it is an aban number.